Question

the half-life of a certain radioactive element is 1250 years. what percent of the atom remains after 7500 years?

Answer 1

After 7500 years and 6 half-lives, approximately 1.5625% of the original radioactive element remains.

Step-by-step explanation:

The half-life of a substance is the time it takes for half of the radioactive atoms in a sample to decay. To determine the percentage of the atom that remains after 7500 years, we use the substance's half-life of 1250 years to calculate how many half-lives have passed:

• 7500 years / 1250 years per half-life = 6 half-lives

For every half-life, the amount of the substance remaining is halved. Therefore, after 6 half-lives:

1. After the first half-life, 50% remains.
2. After the second half-life, 50% of 50% = 25% remains.
3. After the third half-life, 50% of 25% = 12.5% remains.
4. After the fourth half-life, 50% of 12.5% = 6.25% remains.
5. After the fifth half-life, 50% of 6.25% = 3.125% remains.
6. After the sixth half-life, 50% of 3.125% = 1.5625% remains.

Thus, after 7500 years, approximately 1.5625% of the original amount of the radioactive element remains.

Answer 2

Maybe 24% not sure try researching it on google